EE 110 Spring 2017 CQUPT Homework 5 1. Given the following expression € f (A,B,C,D) = M(3,4,10,13,15) ⋅ D(6,7,14)∏ a. (10 points) Use a K-map to find the minimum SOP expression for € f (A,B,C,D). b. (10 points) Use a new K-map to find the minimum POS expression for € f (A,B,C,D). 2. Given the following expression € f (P,Q,R,S) = m(4,7,9,15) + d (1,2,3,6)∑ a. (10 points) Use a K-map to find the minimum SOP expression for € f (P,Q,R,S). b. (10 points) Use a new K-map to find the minimum POS expression for € f (P,Q,R,S). 3. Realize each of the following functions using only a single 4-to-1 multiplexer module as shown below, plus any needed inverters. Do not use other gates. a. (10 points) € f (a,b,c) = m(2,4,5,7)∑ b. (10 points) € f ( p,q,r) = M(0,6,7)∏4. (10 points) Find the minterm list of the function € f (A,B,C,D) realized by the following circuit. Show your result in compact (shorthand) canonical SOP
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